It's true that there will be a discrepancy between your state tax returns and your W-2. Some taxpayers in your situation print and mail their tax returns, along with a note of explanation. Others wait to see if their return is questioned. As you might guess, your situation is quite common in these days of Covid and working from home.
When you do both returns in TT and e-file them, I believe your resident state will get a copy of the other state's return. That might be sufficient.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
